PLEASE HELP PLEASE consider this equation.
(4x)^1/3-x=0
The first step in solving this equation is to (take the cube root of both sides, cube both sides, add c to both sides)
The second step is to (cube both sides, add the cube of extra both sides, add the cube root of x to both sides)
solving this equation for x initially yields (two possible values, three possible values, one possible value)
checking the solutions shows that (zero and two are valid solutions, -2, 0, and 2 are valid solutions, none are valid solutions, only 0 is a valid solution)